This spatial transformation includes appropriate orientation adjustments as applied in relation to the reference coordinate system. In step (2) above, a global system of equations is generated from the element equations by transforming coordinates from the subdomains' local nodes to the domain's global nodes. In contrast, ordinary differential equation sets that occur in the transient problems are solved by numerical integration using standard techniques such as Euler's method or the Runge-Kutta method. Algebraic equation sets that arise in the steady-state problems are solved using numerical linear algebra methods. They are linear if the underlying PDE is linear and vice versa. These equation sets are element equations. a set of ordinary differential equations for transient problems.
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